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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 185130.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.bc1 | 185130eo1 | \([1, -1, 0, 1924785, 147919855]\) | \(610641930681719/360747465210\) | \(-465893796216656858490\) | \([]\) | \(8985600\) | \(2.6552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185130.bc do not have complex multiplication.Modular form 185130.2.a.bc
sage: E.q_eigenform(10)